-2 2dx х2 — 1 - 1
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![**Calculate:**
\[
\int_{-\infty}^{-2} \frac{2dx}{x^2 - 1}
\]
This expression represents an improper integral with limits from negative infinity to -2. The function being integrated is \(\frac{2}{x^2 - 1}\), which is a rational function. This type of integral often requires techniques such as partial fraction decomposition and evaluation of limits to handle the infinite domain.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F14ad990f-dd7d-47e0-a13f-1f780fa26f58%2F697e0c4d-7856-4017-9c41-3bc9fd484f5e%2Ftpo204r_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Calculate:**
\[
\int_{-\infty}^{-2} \frac{2dx}{x^2 - 1}
\]
This expression represents an improper integral with limits from negative infinity to -2. The function being integrated is \(\frac{2}{x^2 - 1}\), which is a rational function. This type of integral often requires techniques such as partial fraction decomposition and evaluation of limits to handle the infinite domain.
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